We perform the multiplication for each day and then sum them up: 5 × 2 = 10 shoes, 15 × 2 = 30 shoes, and 30 × 2 = 60 shoes. Adding these gives a total of 10 + 30 + 60 = 100 new shoes.

Fireman Frank has 200 shoes. If he gets 5 pairs of shoes on Monday and gains 15 new pairs on Wednesday and 30 pairs on Friday, how many shoes will he have on Sunday if he gets rid of 180 shoes on Saturday?

Answer: Fireman Frank will have 120 shoes on Sunday.

Step-by-step solution

Step 1: Calculate total shoes from new pairs

First, we convert the 'pairs of shoes' into individual shoes. Each pair consists of 2 shoes. So, we multiply the number of pairs received on Monday, Wednesday, and Friday by 2 to find the total number of individual shoes gained.

Step 2: Perform the calculation for new shoes

We perform the multiplication for each day and then sum them up: $5 \times 2 = 10$ shoes, $15 \times 2 = 30$ shoes, and $30 \times 2 = 60$ shoes. Adding these gives a total of $10 + 30 + 60 = 100$ new shoes.

Step 3: Calculate total shoes before Saturday

Next, we add the initial number of shoes Fireman Frank had to the total number of new shoes he gained throughout the week (Monday, Wednesday, and Friday) to find out how many shoes he possessed before Saturday.

Step 4: Perform the calculation for shoes before Saturday

Starting with $200$ shoes and gaining $100$ new shoes, Fireman Frank has a total of $200 + 100 = 300$ shoes before getting rid of any on Saturday.

Step 5: Calculate shoes remaining after Saturday

Finally, to find out how many shoes Fireman Frank will have on Sunday, we subtract the number of shoes he got rid of on Saturday from the total number of shoes he had before Saturday.

Step 6: Perform the final calculation

After having $300$ shoes and getting rid of $180$ shoes on Saturday, Fireman Frank will have $300 - 180 = 120$ shoes remaining on Sunday.

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